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- Space Telescope Science InstituteUS138 papers
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8 papers · 2 filters
The Maslov Index and the Spectra of Second Order Elliptic Operators
Yuri Latushkin, Selim Sukhtaiev
We consider second order elliptic differential operators on a bounded Lipschitz domain . Firstly, we establish a natural one-to-one correspondence between their self-adjoint ext…
Trace Formulas for a Class of non-Fredholm Operators: A Review
Alan Carey, Fritz Gesztesy, Harald Grosse +4
We review previous work on spectral flow in connection with certain self-adjoint model operators on a Hilbert space , joining endpoints $A…
Coupling of symmetric operators and the third Green identity
Jussi Behrndt, Vladimir Derkach, Fritz Gesztesy +1
The principal aim of this paper is to derive an abstract form of the third Green identity associated with a proper extension of a symmetric operator in a Hilbert space $\ma…
BMO solvability and absolute continuity of harmonic measure
Steve Hofmann, Phi Le
We show that for a uniformly elliptic divergence form operator , defined in an open set with Ahlfors-David regular boundary, BMO-solvability implies scale invariant quantita…
The BMO-Dirichlet problem for elliptic systems in the upper-half space and quantitative characterizations of VMO
José María Martell, Dorina Mitrea, Irina Mitrea +1
We prove that for any homogeneous, second order, constant complex coefficient elliptic system , the Dirichlet problem in with boundary data in BMO is well-p…
On time adaptive critical variable exponent vectorial diffusion flows and their applications in image processing
V. B. Surya Prasath, D. Vorotnikov
Variable exponent spaces have found interesting applications in real world problems. Recently, there have been considerable interest in utilizing variational and evolution problems…